20101022113120 has 48 divisors (see below), whose sum is σ = 51141638958480. Its totient is φ = 7421915856384.

The previous prime is 20101022113103. The next prime is 20101022113121. The reversal of 20101022113120 is 2131122010102.

It is a super-2 number, since 2×20101022113120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 20101022113094 and 20101022113103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101022113121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4831974390 + ... + 4831978549.

It is an arithmetic number, because the mean of its divisors is an integer number (1065450811635).

Almost surely, 2^{20101022113120} is an apocalyptic number.

20101022113120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101022113120 is an abundant number, since it is smaller than the sum of its proper divisors (31040616845360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20101022113120 is a wasteful number, since it uses less digits than its factorization.

20101022113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9663952967 (or 9663952959 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 20101022113120 its reverse (2131122010102), we get a palindrome (22232144123222).

The spelling of 20101022113120 in words is "twenty trillion, one hundred one billion, twenty-two million, one hundred thirteen thousand, one hundred twenty".